Sine-Gordon solitonic scalar stars and black holes
Abstract
We study exact, analytic, static, spherically symmetric, four-dimensional solutions of minimally coupled Einstein-scalar gravity, sourced by a scalar field whose profile has the form of the sine-Gordon soliton. We present a horizonless, everywhere regular and positive-mass solution (a solitonic star) and a black hole. The scalar potential behaves as a constant near the origin and vanishes at infinity. In particular, the solitonic scalar star interpolates between an anti-de Sitter and an asympototically flat spacetime. The black-hole spacetime is unstable against linear perturbations, while due to numerical issues, we were not able to determine with confidence whether or not the star-like background solution is stable.
Keywords
Cite
@article{arxiv.1805.08976,
title = {Sine-Gordon solitonic scalar stars and black holes},
author = {Edgardo Franzin and Mariano Cadoni and Matteo Tuveri},
journal= {arXiv preprint arXiv:1805.08976},
year = {2018}
}
Comments
7 pages, 3 figures; v2: some comments and references added, matches published version